Search a number
-
+
1121288232 = 233711096037
BaseRepresentation
bin100001011010101…
…1000000000101000
32220010220100021210
41002311120000220
54244022210412
6303133033120
736533535621
oct10265300050
92803810253
101121288232
11525a35499
122736257a0
1314b3c557c
14a8cc0a48
156868d83c
hex42d58028

1121288232 has 64 divisors (see below), whose sum is σ = 2869257600. Its totient is φ = 365057280.

The previous prime is 1121288209. The next prime is 1121288243. The reversal of 1121288232 is 2328821211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1121288232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182718 + ... + 188754.

It is an arithmetic number, because the mean of its divisors is an integer number (44832150).

Almost surely, 21121288232 is an apocalyptic number.

1121288232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121288232 is an abundant number, since it is smaller than the sum of its proper divisors (1747969368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121288232 is a wasteful number, since it uses less digits than its factorization.

1121288232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6222 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1121288232 is about 33485.6421769092. The cubic root of 1121288232 is about 1038.8968307314.

The spelling of 1121288232 in words is "one billion, one hundred twenty-one million, two hundred eighty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 109 142 213 218 284 327 426 436 568 654 852 872 1308 1704 2616 6037 7739 12074 15478 18111 23217 24148 30956 36222 46434 48296 61912 72444 92868 144888 185736 428627 658033 857254 1285881 1316066 1714508 1974099 2571762 2632132 3429016 3948198 5143524 5264264 7896396 10287048 15792792 46720343 93440686 140161029 186881372 280322058 373762744 560644116 1121288232